12797907120 has 320 divisors, whose sum is σ = 45125683200. Its totient is φ = 3332782080.

The previous prime is 12797907091. The next prime is 12797907137. The reversal of 12797907120 is 2170979721.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 29693305 + ... + 29693735.

It is an arithmetic number, because the mean of its divisors is an integer number (141017760).

Almost surely, 2^12797907120 is an apocalyptic number.

12797907120 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 12797907120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (22562841600).

12797907120 is an abundant number, since it is smaller than the sum of its proper divisors (32327776080).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

12797907120 is a wasteful number, since it uses less digits than its factorization.

12797907120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 745 (or 733 counting only the distinct ones).

The product of its (nonzero) digits is 111132, while the sum is 45.

The spelling of 12797907120 in words is "twelve billion, seven hundred ninety-seven million, nine hundred seven thousand, one hundred twenty".